6 papers
The derived moduli of perverse sheaves
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We construct higher derived Artin stacks parametrizing constructible sheaves on complex algebraic varieties and compact real analytic varieties. Furthermore, we show that every per…
Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks
Lie Fu, Mauro Porta, Sarah Scherotzke +1
We prove a Hochschild--Konstant--Rosenberg (HKR) theorem for arbitrary derived Deligne--Mumford (DM) stacks, extending the results of Arinkin-Căldăraru-Hablicsek in the smooth, glo…
Standard -structures
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We provide a general construction of induced -structures, that generalizes standard -structures for -categories of sheaves. More precisely, given a presentable $\inft…
The derived moduli of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
The goal of this paper is to show that Stokes data coming from flat bundles form a locally geometric derived stack locally of finite presentation. This generalizes existing geometr…
Exodromy beyond conicality
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We show that compact subanalytic stratified spaces and algebraic stratifications of real varieties have finite exit-path -categories, refining classical theorems of Lefsche…
Homotopy theory of Stokes data
Mauro Porta, Jean-Baptiste Teyssier
In this paper we lay the foundations of an -categorical theory of Stokes data.